The unique polynomial P(x) of degree 2 such that: P(1) = 1, P(3) = 27, P(4) = 64 is

A

$$8x^2 - 19x + 12$$

B

$$8x^2 + 19x + 12$$

C

$$-8x^2 - 19x + 12$$

D

$$-8x^2 - 19x - 12$$